ARRGGHH... The Stakes Be High, Says I!

When you pay ransom to a hostage-taking pirate, traditional economic theory suggests that you increase the returns to piracy, encouraging more of it. If you kill a hostage-taking pirate, you increase the cost of piracy, which should discourage would-be pirates from taking to the seas.

The response by the Somali pirates to the U.S. Navy's recent killing of three pirates has been just the opposite though. These gangs say they are now devoted to revenge-taking over more ships and taking more hostages than ever. The cost of doing business has risen, and yet they want to do more of this business than ever. Why do you think this is?

Discussion Questions

1. In order to quickly obtain large ransoms, pirates must signal a credible threat to cargo ship owners. How might this credibility issue play into the pirates' response to the actions of the U.S. government?

2. The pirates killed by U.S. Navy snipers were holding an American captain of an American boat with an American crew. Might governments respond differently in situations involving multi-national crews?

3. The pirates who were killed were likely just henchmen with little power in the criminal organization. Did the "cost of doing business" really rise very much for the pirates running the organization?

4. In what ways does the government provision of naval security in international waters resemble a public good? Might the current allocation of security (both private and public) in international waters be inefficiently low?

5. From the standpoint of ransom maximization for a small individual gang of pirates, what is the optimal amount of piracy? What is the ransom maximizing strategy if the piracy off the Somali coast is coordinated by a cartel of gang lords?

The 2007 Nobel Prize: Mechanism What?

The 2007 Nobel Prize in Economics went to Leonid Hurwicz, Roger Myerson, and Eric Maskin for “having laid the foundations of mechanism design theory.”

Mechanism design isn’t covered in the typical introductory economics class. The narrative of your first econ class usually goes something like this: “The ‘invisible hand’ of the free market is the most efficient way of answering the fundamental economic questions: what to produce, how to produce it, and who consumes it. Sometimes the market doesn’t work—for example, in the case of externalities or public goods.”

In short, a single mechanism—the “market”—is usually the topic of discussion for intro courses. But there are lots of other mechanisms for answering these fundamental questions. And unlike the market, which is a decentralized mechanism (meaning it is not run by a central authority), there are plenty of man-made institutions that are centralized mechanisms. One example of such a mechanism is an auction, which allocates goods according to bids. Another is a political election, which allocates political power according to the preferences of the electorate. Both auctions and elections have rules, and these rules determine the optimal behavior of bidders and politicians.

One of the biggest challenges of designing an economic mechanism is that people have private information about their own preferences. One of the most famous examples of a mechanism design problem is the provision of public goods. Suppose a small town is considering the establishment of a public park in the town square. Should it ask the citizens how much each of them would value the park, and ask them to contribute that amount? Clearly, each of the citizens would have an incentive to “free ride” on their neighbors by understating their own value of the public good—so as a mechanism, just asking for voluntary contributions leaves a lot to be desired.

We will be creating a news analysis assignment about mechanism design for professors who use Aplia in their classrooms. In the meantime, here are some discussion questions to get the ball rolling.

Discussion Questions

1. “Market failure” often occurs when dealing with things other than purely private goods—for example, public goods, common resources, or goods with externalities. One solution to market failure can be broadly categorized as “market solutions.” An example of such a market solution is the levying of a Pigovian tax, which keeps the basic mechanism of the market but alters the incentives of participants. Another solution to market failure would be to replace the market with another institution entirely. For example, the right to use a specific frequency of the wireless spectrum is allocated by the Federal Communications Commission using an auction mechanism. Can you think of other examples of market failure that we address by using centralized mechanisms? What are the advantages and disadvantages to centralized mechanisms as opposed to market solutions?

2. The term “asymmetric information” refers to cases in which parties hold private (or hidden) information about their preferences or costs. One of the core challenges of mechanism design is to encourage people to reveal their private information in a truthful and credible way. For example, it is easy to show that the optimal strategy for a bidder in a Vickrey auction like eBay is to bid one’s true value. Think of a situation in which asymmetric information causes problems. What kind of mechanism could you design to elicit truthful information from the participants in that situation?

3. A recent Washington Post article has provoked a fair amount of discussion about the effectiveness of torture in acquiring information from prisoners. The most heavily quoted passage of the article reads:

“We got more information out of a German general with a game of chess or Ping-Pong than they do today, with their torture,” said Henry Kolm, 90, an MIT physicist who had been assigned to play chess in Germany with Hitler’s deputy, Rudolf Hess.

What do you think the economic study of mechanism design would have to say about torture? Is it an effective method for eliciting private information? How would an economist interrogate a suspected terrorist?

PlayStation 3 and Arbitrage

Two weeks ago, thousands stood in line to be among the first to get their hands on the PlayStation 3. Surprisingly, many of these people who waited through the cold, rain, and snow did not actually want to keep the PS3. They wanted to buy it for $600 and sell it on eBay for twice the price--a profit-seeking behavior known as arbitrage.

Economists define arbitrage as the act of profiting without bearing any risk. A large shortage is the best indicator of an arbitrage opportunity. A shortage occurs when quantity demanded exceeds quantity supplied--in other words, when the number of PS3's that consumers are willing and able to buy at the current retail price exceeds the number of PS3's available in stores. A shortage implies that there are consumers willing to pay more than $600 for a PS3 who were unable to purchase one because they were too busy to stand in line or too far back in the line. Arbitrage is a means to allocate the PS3's from the initial buyers to the people who want them even more than the original buyers.

Discussion Questions

1. Sony should have forecasted the shortages and price bids on eBay for the PS3 because they sold out of other popular consoles when they were first released (PlayStation, PS2, and PSP). Would it be profitable for Sony to eliminate the "frenzy shortages" by pricing high during the first months and lowering prices afterwards? For example, they could charge $1,000 for the PS3 in November and December, but lower it to $600 afterwards.

2. Sony reports that it costs more than $600 to produce a PS3. Why would it be profitable for Sony to sell the PS3 at an initial loss?

3. Why would a gamer prefer to pay $1,200 for a PS3 on eBay rather than standing in line to buy one for $600?